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Which of the following is NOT a geometric sequence?A. 3, 6, 9, B. 3, 9, 27,... C. 4, 8, 16, D. 7, -7, 7, -7...

Sagot :

Of the following, a sequence which is not a geometric sequence is 3, 6, 9, ... (Option A)

A geometric sequence refers to a sequence in which each term is determined by multiplying the preceding term by the same value which is called the common ratio (r). Hence, the common ratio determined by dividing a term by preceding term is constant in a geometric sequence.

In the given options,

A) r = 6/3 ≠ 9/6

B) r = 9/3 = 27/9 = 3

C) r = 8/4 = 16/8 = 2

D) r = -7/7 =7/-7 = -7/7 = -1

As the common ratio r is constant for option B, C and D, they are geometric sequences. The ratio between consecutive terms is not the same for option A, it is not a geometric sequence.

Learn more about Geometric sequence:

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